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Finding the Third Proportional to 738,855,199.13 and 1,606,315,839.75

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Solution

The third proportional to 738,855,199.13 and 1,606,315,839.75 is: 3,492,227,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,855,199.13 : 1,606,315,839.75 = 1,606,315,839.75 : x
  2. Step 2: Convert to fraction form
    738,855,199.13/1,606,315,839.75 = 1,606,315,839.75/x
  3. Step 3: Cross multiply
    738,855,199.13x = 1,606,315,839.75 × 1,606,315,839.75
  4. Step 4: Simplify right side
    738,855,199.13x = 2,580,250,577,031,747,584
  5. Step 5: Solve for x
    x = 2,580,250,577,031,747,584/738,855,199.13
  6. Step 6: Final answer
    x = 3,492,227,678.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.